



from __future__ import annotations
class 					_snake_case      :




				def __init__(    self       :    Optional[int],       __lowercase       :    int    ):
							lowercase__       	=					data
							lowercase__       	=					None
							lowercase__       	=					None



def __lowerCAmelCase			(  SCREAMING_SNAKE_CASE_	):  # In Order traversal of the tree

			if tree:
						display(tree.left	)
						print(tree.data	)
						display(tree.right	)



def __lowerCAmelCase			(  SCREAMING_SNAKE_CASE_	):
			return 1 + max(depth_of_tree(tree.left	)    ,	depth_of_tree(tree.right	)	) if tree else 0



def __lowerCAmelCase			(  SCREAMING_SNAKE_CASE_	):

			if not tree:
						return True
			if tree.left and tree.right:
						return is_full_binary_tree(tree.left	) and is_full_binary_tree(tree.right	)
			else:
						return not tree.left and not tree.right



def __lowerCAmelCase			(  ):  # Main function for testing.
			lowercase__       	=					Node(1	)
			lowercase__       	=					Node(2	)
			lowercase__       	=					Node(3	)
			lowercase__       	=					Node(4	)
			lowercase__       	=					Node(5	)
			lowercase__       	=					Node(6	)
			lowercase__       	=					Node(7	)
			lowercase__       	=					Node(8	)
			lowercase__       	=					Node(9	)

			print(is_full_binary_tree(a__	)	)
			print(depth_of_tree(a__	)	)
			print("Tree is: "	)
			display(a__	)


if __name__ == "__main__":
							main()





from __future__ import annotations

from collections import Counter
from random import random




class 					_UpperCAmelCase			:



 '''simple docstring'''




 def __init__(		self				:   List[str])						->	Any:


   """simple docstring"""







   _UpperCamelCase           =    {}







 def 		__UpperCAmelCase				(		self				:   Optional[Any]							, lowercase_				:   str)						->	None:


   """simple docstring"""







   _UpperCamelCase           =    {}







 def 		__UpperCAmelCase				(		self				:   List[str]							, lowercase_				:   str							, lowercase_				:   str							, lowercase_				:   float)						->	None:


   """simple docstring"""







   if nodea not in self.connections:
     self.add_node(lowercase_)
   if nodea not in self.connections:
     self.add_node(lowercase_)
   _UpperCamelCase           =    probability







 def 		__UpperCAmelCase				(		self				:   Any)						->	list[str]:


   """simple docstring"""







   return list(self.connections)







 def 		__UpperCAmelCase				(		self				:   Tuple							, lowercase_				:   str)						->	str:


   """simple docstring"""







   _UpperCamelCase           =    0
   _UpperCamelCase           =    random()

   for dest in self.connections[node]:
     current_probability += self.connections[node][dest]
     if current_probability > random_value:
       return dest
   return ""


def 				lowerCAmelCase__       (			a__    ,     a__    ,     a__ )      ->dict[str, int]:




  '''simple docstring'''

  _UpperCamelCase           =    MarkovChainGraphUndirectedUnweighted()

  for nodea, nodea, probability in transitions:
    graph.add_transition_probability(a__    ,     a__    ,     a__ )

  _UpperCamelCase           =    Counter(graph.get_nodes() )
  _UpperCamelCase           =    start

  for _ in range(a__ ):
    _UpperCamelCase           =    graph.transition(a__ )
    visited[node] += 1

  return visited


if __name__ == "__main__":
   import doctest

   doctest.testmod()




